11178328000 has 224 divisors, whose sum is σ = 31779715968. Its totient is φ = 3815424000.

The previous prime is 11178327989. The next prime is 11178328061. The reversal of 11178328000 is 82387111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24247770 + ... + 24248230.

It is an arithmetic number, because the mean of its divisors is an integer number (141873732).

Almost surely, 2^11178328000 is an apocalyptic number.

11178328000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11178328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15889857984).

11178328000 is an abundant number, since it is smaller than the sum of its proper divisors (20601387968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11178328000 is an equidigital number, since it uses as much as digits as its factorization.

11178328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The spelling of 11178328000 in words is "eleven billion, one hundred seventy-eight million, three hundred twenty-eight thousand".